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Finding the Fourth Proportional to 347,969.28, 480,174.87 and 204,701.64

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Solution

The fourth proportional to 347,969.28, 480,174.87 and 204,701.64 is: 282,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,969.28 : 480,174.87 = 204,701.64 : x
  2. Step 2: Convert to fraction form
    347,969.28/480,174.87 = 204,701.64/x
  3. Step 3: Cross multiply
    347,969.28x = 480,174.87 × 204,701.64
  4. Step 4: Simplify right side
    347,969.28x = 98,292,583,375.79
  5. Step 5: Solve for x
    x = 98,292,583,375.79/347,969.28
  6. Step 6: Final answer
    x = 282,474.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.